Deleon Ruiz

12/24/2023 · Primary School

When an electric current passes through two resistors with resistance \( r \) and \( s \), connected in parallel, the combined resistance, \( R \), can be calculated from the equation where \( R, r \), and \( s \) are positive. Assume that \( s \) is constant. Find \( \frac{d R}{d r} \) : \( \frac{d R}{d r}= \) Is \( R \) and increasing or decreasing function of \( r \) ? (Enter increasing, decreasing, neither, or both (write both if there are values of \( r \) for which \( R \) is increasing, and other values for which it is decreasing; enter neither if this is a constant function.) If we consider the interval \( a \leq r \leq b \), where does \( R \) take on its global maximum and minimum values? maximum: \( r= \) minimum: \( r= \) (Enter none if there is no global maximum or minimum for this